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**Modified Chebyshev-Picard iteration methods for station-keeping of translunar halo orbits.**
*(English)*
Zbl 1264.70032

Summary: The halo orbits around the Earth-Moon \(L_2\) libration point provide a great candidate orbit for a lunar communication satellite, where the satellite remains above the horizon on the far side of the Moon being visible from the Earth at all times. Such orbits are generally unstable, and station-keeping strategies are required to control the satellite to remain close to the reference orbit. A recently developed Modified Chebyshev-Picard Iteration method is used to compute corrective maneuvers at discrete time intervals for station-keeping of halo orbit satellite, and several key parameters affecting the mission performance are analyzed through numerical simulations. Compared with previously published results, the presented method provides a computationally efficient station-keeping approach which has a simple control structure that does not require weight turning and, most importantly, does not need state transition matrix or gradient information computation. The performance of the presented approach is shown to be comparable with published methods.

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\textit{X. Bai} and \textit{J. L. Junkins}, Math. Probl. Eng. 2012, Article ID 926158, 18 p. (2012; Zbl 1264.70032)

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